22/7*4*r^2=154

Solution for 22/7*4*r^2=154 equation:

22/7*4*r^2=154

We move all terms to the left:

22/7*4*r^2-(154)=0


Domain of the equation: 7*4*r^2!=0

r!=0/1

r!=0

r∈R


We multiply all the terms by the denominator


-154*7*4*r^2+22=0

Wy multiply elements

-4312r^2*4+22=0

Wy multiply elements

-17248r^2+22=0

a = -17248; b = 0; c = +22;
Δ = b2-4ac
Δ = 02-4·(-17248)·22
Δ = 1517824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1517824}=1232$
$r_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1232}{2*-17248}=\frac{-1232}{-34496}
=1/28
$
$r_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1232}{2*-17248}=\frac{1232}{-34496}
=-1/28
$